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Last reports - Publicaciones
S. Beck, S. Gonzalez-Pinto, S. Pérez-Rodríguez, R. Weiner,
A comparison of AMF- and Krylov-methods for large stiff ODE systems
NUMDIF-13 (2012) (2012)
S. Gonzalez-Pinto, D. Hernández-Abreu,
Some splitting-methods based on Radau-IIA formulas for the time integration of advection diffusion reaction PDEs. Part II: Convergence
Preprint (2012)
S. Gonzalez-Pinto, D. Hernández-Abreu, S. Pérez-Rodríguez,
Rosenbrock-type methods with Inexact AMF for the time integration of advection-di
PREPRINT (2012)
S. Gonzalez-Pinto, D. Hernández-Abreu, J.I. Montijano,
Convergence properties of SAFERK methods on stiff systems and DAEs
APNUM (2012)
M. Calvo, M.P. Laburta, J.I. Montijano, L. Rández,
Error growth in the numerical integration of periodic orbits
Math. Comput. Simul. , 81 12, pp 2646-2661 (2011)
M. Calvo, J.I. Montijano, L. Rández, M van Daele,
On the derivation of explicit two-step peer methods
Appl. Numer. Math. , 61 4, pp 395-409 (2011)
J.M. Carnicer, J. Delgado, J.M. Peña,
On the progressive iteration approximation property and alternative iterations
Comput. Aided. Geom. Des. , 28 pp.523-526 (2011)
S. Gonzalez-Pinto, S. Pérez-Rodríguez,
A variable time–stepsize code for advection-diffusion-reaction PDEs.
Applied Numerical Mathematics (Accepted 2010) (2011)
J.M. Peña, V. Cortés,
Required nonzero patterns for non singular sign regular matrices
Linear Algebra and its Applications , 432 pp.1990-1994 (2010)
J.M. Peña, J. Delgado,
Running error for the evaluation of rational Bézier surfaces
Journal of Computational and Applied Mathematics , 233 pp.1685-1696 (2010)
J.M. Carnicer, J. Delgado, J.M. Peña,
Richardson method and totally nonnegative linear systems
Linear Algebra Appl. , 433 pp.2010-2017 (2010)
J.M. Carnicer, C. Godés,
Configurations of nodes with defect greater than three
J. Comput. Appl. Math. , 233 pp.1640-1648 (2010)
M. Calvo, J.M. Franco, J.I. Montijano, L. Rández,
Highly stable RK time advancing schemes for Computational Aero Acoustics
Technical report, IUMA (2010)
S. Gonzalez-Pinto, D. Hernández-Abreu, J.I. Montijano,
An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results
J. Comput. Appl. Math. , 234 pp.1105-1116 (2010)
M. Calvo, M.P. Laburta, J.I. Montijano, L. Rández,
Projection methods preserving Lyapunov functions
BIT Numer Math , 50 pp.223-241 (2010)
J.M. Carnicer,
Weighted interpolation for equidistant nodes
Numer. Algor. , 55 pp.223-232 (2010)
M. Calvo, M.P. Laburta, J.I. Montijano, L. Rández,
Approximate preservation of quadratic first integrals by explicit Runge-Kutta methods
Adv. Comput. Math. , 32 pp.255-274 (2010)
S. Gonzalez-Pinto, S. Pérez-Rodríguez,
A variable time–stepsize code for advection-diffusion-reaction PDEs.
Applied Numerical Mathematics (Accepted 2010) (2010)
S. Gonzalez-Pinto, D. Hernández-Abreu, J.I. Montijano,
Converge properties of SAFERK methods on stiff systems and DAEs
Technical report, IUMA (2009)
J.M. Peña, M. García-Esnaola,
Sign consistent linear programing problems
Optimization , 58 pp.935-946 (2009)
J.M. Peña, J. Delgado,
Optimal conditioning of Berstein collocation matrices
SIAM Journal on Matrix Analysis and its Applications , 31 pp.990-996 (2009)
J.M. Peña,
Eigenvalue localization for totally positive matrices
Positive systems (R. Bru and S. Romero-Vivó, Ed.). Lecture Notes in Control and Information Sciences 389, Berlín , pp.123-130 (2009)
P. Alonso, J. Delgado, R. Gallego, J.M. Peña,
Iterative Refinement for Neville Elimination
International Journal of Computer Mathematics , 86 pp.341-353 (2009)
M. Calvo, J.I. Montijano, M.P. Laburta, L. Rández,
On the Long Time Error of First Integrals for Some RK Numerical Integrators
JNAIAM J. Numer. Anal. Indust. Appl. Math. , 4 1--2, pp 77-86 (2009)
 
J.M. Carnicer, M. Gasca, T. Sauer,
Aitken-Neville sets, principal lattices and divided differences
J. Approx. Theory , 156 pp.154-172 (2009)
J.M. Peña,
Positive symmetric matrices with exactly one positive eigenvalue
Linear Algebra and its Applications , 430 pp.1566-1573 (2009)
J.M. Peña, J. Delgado,
Running Relative Error for the Evaluation of Polynomials
SIAM Journal on Scientific Computing , 31 pp.3905-3921 (2009)
J.M. Peña,
Eigen value bounds for some classes of P-matrices
Numerical Linear Algebra with Aplications , 16 pp.871-882 (2009)
M. Calvo, J.M. Franco, J.I. Montijano, L. Rández,
Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type
J. Comput. Appl. Math. , 223 1, pp 387-398 (2009)
 
J.M. Carnicer, T.N.T. Goodman, J.M. Peña,
Convexity preserving scattered data interpolation using Powell-Sabin elements
Computer Aided Geometric Design , 26 pp.779-796 (2009)
M. Calvo, J.M. Franco, J.I. Montijano, L. Rández,
A note on some exact analytical solutions of the rotation of a rigid body with a external torque
Technical report, IUMA (2009)
J. Delgado, J.M. Peña,
Computation of the eigenvalues of convexity preserving matrices
Applied Mathematics Letters , 22 pp.470-474 (2009)
J.M. Carnicer, C. Godés,
Classification of sets satisfying the geometric characterization
Numer. Algor. , 50 pp.145-154 (2009)
M. García-Esnaola, J.M. Peña,
Error bounds for linear complementarity problems of B-matrices
Applied Mathematics Letters , 22 pp.1071-1075 (2009)
S. Gonzalez-Pinto, R. Rojas-Bello,
A code based on the two-stage Gauss method for second order initial value problems
(2008)
M. Calvo, J.I. Montijano, L. Rández,
The numerical solution of discontinuous IVPs by Runge-Kutta codes: a review
Bol. Soc. Esp. Mat. Apl. SeMA , 44 pp.33-53 (2008)
 
J. Delgado, J.M. Peña,
Error analysis of efficient evaluation algorithms for tensor product surfaces
Journal of Computational and Applied Mathematics , 219 pp.156-169 (2008)
J.M. Carnicer, T.N.T. Goodman, J.M. Peña,
Roundoff errors for polynomial evaluation by a family of formulae
Computing , 82 pp.199-215 (2008)
V. Cortés, J.M. Peña,
Decompositions of strictly sign regular matrices
Linear Algebra and its Applications , 429 pp.1071-1081 (2008)
M. Calvo, J.M. Franco, J.I. Montijano, L. Rández,
Structure preservation of exponentially fitted Runge-Kutta methods
J. Comput. Appl. Math. , 218 2, pp 421-434 (2008)
 
J.M. Carnicer, M. Gasca,
Cubic pencils of lines and bivariate interpolation
J. Comp. Appl. Math. , 219 pp.370-382 (2008)
J. Delgado, J.M. Peña,
Error analysis of efficient evaluation algorithms for tensor product surfaces
Journal of Computational and Applied Mathematics , 219 pp.156-169 (2008)
S. Gonzalez-Pinto, S. Pérez-Rodríguez, R. Rojas-Bello,
GAUSS_2 (second version code, see Software section)
(2008)
J.M. Carnicer,
Interpolation and reconstruction of curves and surfaces
Rev. Real Academia de Ciencias. Zaragoza , 63 pp.7-40 (2008)
L. Rández,
Embedded Pairs of Exponentially Fitted Explicit Runge-Kutta Methods for the Numerical Integration of Oscillatory Problems
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS , 1048 pp.1008-1010 (2008)
M. Calvo, S. Gonzalez-Pinto, J.I. Montijano,
Global error estimation based on the tolerance proportionality for some adaptive Runge-Kutta codes
J. Comput. Appl. Math. , 218 2, pp 329-341 (2008)
 
V. Cortés, J.M. Peña,
A stable test for strict sign regularity
Mathematics of Computation , 77 pp.2155-2171 (2008)
M. Calvo, J.M. Franco, J.I. Montijano, L. Rández,
Sixth-order symmetric and symplectic exponentially fitted modified Runge-Kutta methods of Gauss type
Comput. Phys. Commun. , 178 10, pp 732-744 (2008)
 
J.M. Peña,
Hierarchical open Leontief models
Linear Algebra and its Applications , 428 pp.2549-2559 (2008)
J. Delgado, J.M. Peña,
Spectral Properties of the Collocation Matrices of Bases of Rational Spaces
Approximation Theory XII: San Antonio 2007 (Mike Neamtu and Larry L. Schumaker, Eds.), Nashboro Pre, pp.77-86 (2008)